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Finding the Fourth Proportional to 3,553.60, 4,892.64 and 3,133.60

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Solution

The fourth proportional to 3,553.60, 4,892.64 and 3,133.60 is: 4,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.60 : 4,892.64 = 3,133.60 : x
  2. Step 2: Convert to fraction form
    3,553.60/4,892.64 = 3,133.60/x
  3. Step 3: Cross multiply
    3,553.60x = 4,892.64 × 3,133.60
  4. Step 4: Simplify right side
    3,553.60x = 15,331,576.70
  5. Step 5: Solve for x
    x = 15,331,576.70/3,553.60
  6. Step 6: Final answer
    x = 4,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.